ALL FORMULA FOR MATH, Study notes of Mathematics

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BASIC ALGEBRA (a b)? = a? + 2Qab + b (a b)? = a? — 2ab + b? a? — b? = (a+ b)(a — b) + a? + b* =(a — b)2+2ab + b+ co)? = a? + 62+ c2 + 2Cab + be + ac) oe (a -b- cc)? = a? + b? + c#- 2(ab- be + ac) (a+ b)*® = a5 + bo + Sabla+ b) Ca b)> a? — b? — Baba — Bb) a? — b? = (a — b)(a2 + ab + Bb?) a? + b? = (a+ b)(a? — ab + By at - b* = (a2 - b*) (a? + b2)= (a — b) (a + Bb) (az + Bb) (a - Bb) (a4 + acb +a7b2+ab5+b4) (a + b)(at - atb +a2b?-ab7+b7) (a+b) (a?—t-an—2b+a"—*b2-...-ab—2+b"—1) Area of Square = az Area of rectangle = ab Area of parallelogram = bh Area of trapezoid = h/2 (b1 + b2) Area circle = 1t_r= Area Teed re Area of triangle = (1/2).base*height Area of equilateral triangle = (1/2)ah or v3/4a= Area of triangle given SAS (two sides and the opposite angle) = (1/2) ab sinc Area of triangle given a,b,c = Vs(s-a)(s-b)(s-c) when s = (a+b+c)/2 (Heron's formula) Area of regular polygon = (1/2) nm sin(360°/n) S? when n = # of sides and S = length from center to a corner Area of Sphere = 4nr2 Area of Semi- Circle= (1/2)1mtr2 Volume of cube = a? Volume of rectangular prism = a.b.c Volume of irregular prism = b.h Volume of cylinder = b.h = 1t.r?.h Volume of pyramid = (1/3)b.h Volume of cone = (1/3) bh = 1/3 1. Volume of sphere = (4/3) m.r? volume of ellipsoid = (4/3) 1 r1.-r2.r3 volume of Cuboid= Lbh Volume of Hemisphere = (2/3)mr Surface Area of a Cube = 6 a*® Surface Area of a Rectangular Prism = 2ab + 2bc + Bac Surface Area of a Sphere = 4 rt r Surface Area of a Cylinder 2Qmure+eo2nerh Surface Area of Cuboid = 2 (ib+bh+hl) Surface Area of Cone = mrci+r) Surface Area of Hemisphere = 3rmr= Diameter = 2 x radius of circle Circumference of Circle = 1 x diameter = 2 1m x radius of square = 4a rectangle = 2a + 2b triangle of circle